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Finding the Fourth Proportional to 920.30, 1,380.06 and 457.90

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Solution

The fourth proportional to 920.30, 1,380.06 and 457.90 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,380.06 = 457.90 : x
  2. Step 2: Convert to fraction form
    920.30/1,380.06 = 457.90/x
  3. Step 3: Cross multiply
    920.30x = 1,380.06 × 457.90
  4. Step 4: Simplify right side
    920.30x = 631,929.47
  5. Step 5: Solve for x
    x = 631,929.47/920.30
  6. Step 6: Final answer
    x = 686.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.